What is the Greatest Common Factor of 36723 and 36738?

Greatest common factor (GCF) of 36723 and 36738 is 3.

GCF(36723,36738) = 3

We will now calculate the prime factors of 36723 and 36738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36723 and 36738.

How to find the GCF of 36723 and 36738?

We will first find the prime factorization of 36723 and 36738. After we will calculate the factors of 36723 and 36738 and find the biggest common factor number .

Step-1: Prime Factorization of 36723

Prime factors of 36723 are 3, 12241. Prime factorization of 36723 in exponential form is:

36723 = 3¹ × 12241¹

Step-2: Prime Factorization of 36738

Prime factors of 36738 are 2, 3, 13, 157. Prime factorization of 36738 in exponential form is:

36738 = 2¹ × 3² × 13¹ × 157¹

Step-3: Factors of 36723

List of positive integer factors of 36723 that divides 36723 without a remainder.

1, 3, 12241

Step-4: Factors of 36738

List of positive integer factors of 36738 that divides 36723 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 157, 234, 314, 471, 942, 1413, 2041, 2826, 4082, 6123, 12246, 18369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36723 and 36738. The biggest common factor number is the GCF number.
So the greatest common factor 36723 and 36738 is 3.

Also check out the Least Common Multiple of 36723 and 36738